100100100200121 has 64 divisors (see below), whose sum is σ = 170780792371200. Its totient is φ = 56761624670400.

The previous prime is 100100100200101. The next prime is 100100100200153. The reversal of 100100100200121 is 121002001001001.

It is a happy number.

It is not a de Polignac number, because 100100100200121 - 2⁷ = 100100100199993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (100100100200101) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1455522466 + ... + 1455591236.

It is an arithmetic number, because the mean of its divisors is an integer number (2668449880800).

Almost surely, 2^{100100100200121} is an apocalyptic number.

It is an amenable number.

100100100200121 is a deficient number, since it is larger than the sum of its proper divisors (70680692171079).

100100100200121 is a wasteful number, since it uses less digits than its factorization.

100100100200121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127707 (or 127701 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100100100200121 its reverse (121002001001001), we get a palindrome (221102101201122).

The spelling of 100100100200121 in words is "one hundred trillion, one hundred billion, one hundred million, two hundred thousand, one hundred twenty-one".